Use the theorem given below to show that if two rows of a square matrix are equal, then det A = 0. The same is true for two columns. Why? Let A be a square matrix. a. If a multiple of one row of A is added to another row to produce a matrix B, then det B = det A. b. If two rows of A are interchanged to produce B, then det B = - det A. c. If one row of A is multiplied by k to produce B, then det B = k det A.

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